Recent questions tagged quantifiers

Let $\mathrm{L}(x, y)$ be the statement "$x$ loves $y$" where the domain for both $x$ and $y$ consists of all people in the world. Use quantifiers to express "Joy is love...

for X/Y=1∀x∃y p(x,y)this is true or false ???

Let P(x) be the statement “x has a cell phone” and M(x,y) be the statement “x and y have texted over the cell phone,” where the domain for the variables x and y consists ...

Let S(x) be the predicate "x is a student",T(x) be the predicate "x is a teacher"and Q(x,y) be the predicate "x has asked y a question" where the domain consists of all p...

Q) There is somebody whom no one loves L(x,y) : x loves y.Doubt:-Does ∀x ∃y ~L(x,y) will be same as ∃x ∀y ~L(y,x) or both are different...

Let L(x, y) be the statement “x loves y,” where the domainfor both x and y consists of all people in the world.Use quantifiers to express each of these statements.g) Ther...

Let T (x, y) mean that student x likes cuisine y, where thedomain for x consists of all students at your school andthe domain for y consists of all cuisines. Express each...

Which one of the expression of universal quantifier is ambiguous?For allFor everyall offor eachfor anyfor arbitrary

43. Determine whether ∀x(P(x)→Q(x)) and ∀xP (x)→∀xQ(x) are logically equivalent. Justify your answer.44. Determine whether ∀x(P(x)↔Q(x)) and ∀ x P (x) ↔ ∀ xQ(x) are logic...

Find a common domain for the variables x, y, z,and w for which the statement $∀x∀y∀z∃w((w \neq x) ∧ (w \neq y) ∧ (w \neq z))$ is true and another common domainfor these...

Express using predicate,quantifies and connectives:-The diagnostic monitor tracks status of all systems except main console

Every real number except zero has a multiplicative inverseAre both the statements same?$ ∀x((x != 0) → ∃y(xy = 1)) $$ ∀x ∃y ((x != 0) → (xy = 1)) $